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By integral transformation of basic equations, the stress and displacement expressions with unknown coefficients of elastic and viscoelastic materials were obtained in Laplace domain respectively, and introducing dislocation density functions, the singular integral equations were got according to the boundary conditions and interface connection conditions, further adopting Gauss integration and Gauss-Jacobi integration formula, the problem was reduced to algebraic equations, then it can be solved with the method of collocation dots in Laplace domain. Finally, the time response of dynamic stress intensity factor was calculated with the inverse Laplace integral transformation.

采用积分变换方法，得到Laplace域内弹性和粘弹性材料的应力和位移的含未知系数的表达式；引入位错密度函数，并通过边界条件和界面连接条件，导出反映裂纹尖端奇异性的奇异积分方程组，采用Gauss积分，并运用Gauss-Jacobi求积公式化奇异积分方程组为代数方程组，利用配点法进行求解；最后经过Laplace逆变换，求得动态应力强度因子的时间响应。

Advertising the reduced price of selected grocery items in the Daily Gazette will help you increase your sales.

考虑上月的一个研究的结果。Marston 中心区的一个商店的 30 种特价菜在 Gazette 做了 4 天广告。

Gelsemium total alkaloids improved some blood and immune function of mice when it less than 0.30mg/kg body weight, but more than 1.5mg/kg body weight, the gelsemium total alkaloids can reduced some blood and immune function of mice; below the dose of 3%, GEB"s power can improve some blood and immune function of broilers, but GEB"s power can reduce some blood and immune function of broilers above the dose of 6%.

结论是：钩吻对小鼠和肉鸡的血液学及免疫功能的影响均存在着剂量差别，钩吻总碱稀释液在0.30mg／kg剂量以下，能够提高小鼠的某些血液指标与免疫功能(p＜0.05)，而在1.5mg／kg以上，则降低小鼠的某些血液指标与免疫功能(p＜0.05)；3％以下的钩吻干粉能够提高肉鸡的某些血液指标与免疫功能，而6％以上的钩吻干粉则降低某些血液指标与免疫功能。

Consuming 6% gelsemium diets, the broilers grew slower and showed toxication,RBC,HB,TP,ALB,immune organ indexes percentage of ANAE+ lymphocytes. Percentage of rosette and NDVs antibody titer were reduced. The activity of LDHL,AKP,GPT were increased, but the activity of CHE decreased.In all,the results showed that the effect of GEB on blood and immune function of mice and broilers was different in doses.

而在基础日粮中添加6％的钩吻干粉，肉鸡生长缓慢，出现明显的中毒症状，并且能够降低红细胞数、血红蛋白含量、总蛋白含量、白蛋白含量、免疫器官指数、外周血ANAE~+淋巴细胞百分率、玫瑰花环形成百分率以及新城疫病毒抗体效价，机体血清酶LDHL、AKP、GPT活性升高，CHE活性降低。

In terns of the general theory of linear algebra, reduced matrix for the operator M are similar to a Jordan matrix J, namely M = S~lJS .

当约化矩阵M不可对角化时，根据线形代数的一般理论，这时约化矩阵M与一个约当矩阵J相似，即M=S~(-1)JS，其中S是关于k，q_0的任意可逆矩阵。

Problems of generalisation can be reduced if teaching focuses on the principles that underlie concepts...

首先，去玩的时候，，孩子妈妈就告诉我她的女儿昨天又去sleep over了。

In SLDMINV the invariance of the Krylov subspace is invoked, making the main computation reduced into almost real arithmetic, and thus lowering the computation amount markedly. In the meantime, the iteration is performed in the Krylov subspace generated from the inverse of the coefficient matrix and so the convergent speed is enhanced greatly, leading to two orders of the magnitude improvement over standard SLDM.

SLDMINV中运用了Krylov子空间不变性技巧，这使得计算基本化为实运算，显著降低了计算量；同时在由系数矩阵的逆构成的子空间上进行迭代，收敛速度大大加快，较之SLDM提高两个量级。

Based on geodesic distance invariance of nonlinear reduced dimension algorithm source code, the text published...

基于测地距离不变性的非线性降维算法源码，原文发表在2000年的Science杂志上，需要了解具体原理者请先看其论文。

4Based on a fact that the price formula of Asian options can be transformed into that of vanilla European option when the time to maturity is less than or equal to the length of average, we skillfully obtain the analytical price formula for the option on the minimum or the maximum of two geometric average prices and generalize it to obtain the price formula of several average prices for the first time. We also apply the method of [121], which approximates the arithmetic average by the geometric average, to the pricing of opitons on the minimum or the maximum of two arithmetic average prices to obtain Its approximated price formula. Numerical results show that the approximated price is relatively accurate when the riskless interest rate is large or the option is in the money and the volatility of two underlying assets are high and its accuracy is a little reduced but still good when the dividends are considered. However, it is hardly affected by the sampling number.

我们基于观察到的一个事实即当离到期时间小于或等于平均期间时亚洲期权的价格可变换成普通的欧式期权的价格，从而巧妙地得到了两个几何平均价格的最小或最大值期权价格的解析公式，通过简单地推广，首次得到了多个几何平均时的价格公式；将[121]用于算术平均亚洲期权的定价方法推广到两个算术平均价格的最小或最大值期权，从而得到它的渐进公式，数值结果表明：渐进价格的准确性在无风险利率较大或期权为实值且两标的资产的波动率较小时较好，抽样的个数对它没有影响，但考虑红利时它稍有下降但仍较好。

Because of the chief equipment and technic are mostly imported from the abroad presently. It is necessary to lucubrate oxidation mechanism of calcium sulfite and the main influencing factors in the oxidation of calcium sulfite, which are valuable for accelerating the oxidation Rate, consummating academic basic of lime stone-gypsum FGD and optimizing technical process A simulate equipment has been designed based on the theory of geometrical comparability which is reduced scale in geometric proportion to the 300MW capacity.

目前我国的湿式石灰石–石膏法设备和技术均从国外引进，因此深入研究脱硫过程中亚硫酸钙的氧化机制和影响亚硫酸钙氧化的主要因素，对提高氧化速度、完善湿式石灰石–石膏法脱硫技术的理论基础、优化烟气脱硫工艺过程具有重要的价值。

Nowadays, most of research are to build a transmutative Petri Nets through adding controlling place sets, controlling arc sets and controlling policy to the basic Petri Nets, while the Controlled Petri Nets could be used to argue many controlling theory problems conveniently and to induce many logically and physically supervisory and solve the Event Feedback Controlling Problems and State Feedback Controlling Problem in DEDS supervisory theory.

目前大多数的研究表现为在变形后的受控Petri网基础上，利用各种方法求得各种逻辑型、结构型控制器，解决DEDS监控理论中的事件反馈控制问题与状态反馈控制问题。

On one hand, there are discussions with the works council and union about extension of short time working up to the end of September.

一方面，有讨论，工程理事会和联盟关于延长工作时间短至9月底。